# One-Dimensional Cohen-Macaulay Rings by Eben Matlis

By Eben Matlis

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21 Standard Normal Distribution 2 Distribution . . . . Fisher F Distribution . . . Student t Distribution . . Random Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Inde nite Integrals . . . . . . . . 1 Integral Rational Functions . . . . 1 Integrals with X = ax + b . . 3 Integrals with X = a2 x2 . . 4 Integrals with X = a3 x3 . . 5 Integrals with X = a4 + x4 . . 6 Integrals with X = a4 ; x4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Derivatives of higher order of some elementary functions . . . . . . . . The rst Bernoulli numbers . . . . . . . . . . . . . . . . First Euler numbers . . . . . . . . . . . . . . . . . . Approximation formulas for some frequently used functions . . . . . . . Basic integrals . . . . . . . . . . . . . . . . . . . Important rules of calculation of inde nite integrals . . . . . . . . . Substitutions for integration of irrational functions I .